22176141120 has 672 divisors, whose sum is σ = 91384989696. Its totient is φ = 5013964800.

The previous prime is 22176141089. The next prime is 22176141139. The reversal of 22176141120 is 2114167122.

22176141120 is a `hidden beast` number, since 2 + 2 + 17 + 614 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71305765 + ... + 71306075.

It is an arithmetic number, because the mean of its divisors is an integer number (135989568).

Almost surely, 2^22176141120 is an apocalyptic number.

22176141120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22176141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45692494848).

22176141120 is an abundant number, since it is smaller than the sum of its proper divisors (69208848576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22176141120 is a wasteful number, since it uses less digits than its factorization.

22176141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 22176141120 in words is "twenty-two billion, one hundred seventy-six million, one hundred forty-one thousand, one hundred twenty".